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3 years ago

14

How do you change a mixed number to an improper fraction?

1 answer:

Nookie1986 [14]3 years ago

4 0

Example: 2 1/2 = 5/2
You change a mixed number into an improper fraction by multiplying the whole number by the denominator and the add that onto the numerator. In the example shown above, you times the whole number (2) by the denominator (2) which equals 4, and then add that onto the numerator (1) which equals 5. So it becomes 5 over two. Hope this helps

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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

7 0

3 years ago

Uma volta inteira na Terra corresponde a uma distância 2πr≅40.000 km. Se um satélite leva 85 minutos para dar uma volta completa

Shalnov [3]

Answer:

7.8. 10 ^ 3 m / s

Step-by-step explanation:

The computation of the average speed in m/s is shown below:

The average speed equation is

= ΔS ÷ Δt;

As We know that

an entire revolution would be40,000 km

and a satellite takes 85 minutes to complete a revolution,

So,

ΔS = 40,000 km = 40,000,000 m

Δt = 85 min = 5 100 s

Now the average speed is

= 40 000 000 ÷ 5 ÷ 5 100

= 7843.14 m / s

= 7.8. 10 ^ 3 m / s

4 0

3 years ago

Solve the equation. x2 + 8x − 9 = 0 A) x = 1 B) x = 9 C) x = 9 or x = −1 D) x = −9 or x = 1

yarga [219]

Answer:D. X= -9 or x= 1

X2 + 8x - 9 = 0

7 0

3 years ago

Read 2 more answers

Write 9/10 as a division

Arte-miy333 [17]

Answer:

9/10 can be written as 9÷10

Step-by-step explanation:

which Will 0.9

7 0

3 years ago

Read 2 more answers

Need help, please explain the answer

stellarik [79]

Answer:

7 - x meters

Step-by-step explanation:

This is a difference of squares. The formula for difference of squares is

a^2-b^2 = (a-b)(a+b)

So plug the numbers we know into this formula.

Area = lw

49 - x^2 = (a-b)(7+x)

49 - x^2 = (7-x)(7+x)

<u>The length is 7 - x meters.</u>

7 0

3 years ago